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Finding the Fourth Proportional to 80,864.64, 121,164.48 and 77,792.64

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Solution

The fourth proportional to 80,864.64, 121,164.48 and 77,792.64 is: 116,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,864.64 : 121,164.48 = 77,792.64 : x
  2. Step 2: Convert to fraction form
    80,864.64/121,164.48 = 77,792.64/x
  3. Step 3: Cross multiply
    80,864.64x = 121,164.48 × 77,792.64
  4. Step 4: Simplify right side
    80,864.64x = 9,425,704,773.43
  5. Step 5: Solve for x
    x = 9,425,704,773.43/80,864.64
  6. Step 6: Final answer
    x = 116,561.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.